cracker operators are consuming more ethane instead of heavier feed slates, resulting in a reduction of coproduct
production, including propylene.
214) that the coproduct
of the objects A and B of a category b is a triple (A [??] B, [alpha], [beta]), where A [??] B is an object in b and [alpha] : A [right arrow] A [??] B, [beta] :B [beta] A [??] B are morphisms of the category b such that for every object X in b and every pair of morphisms f : A [right arrow] X, g : B [right arrow] X of b there exists a unique morphism [theta] : A [??] B [right arrow] X of b such that [theta] [theta] [alpha] = f and [theta] [??] [beta] = g.
In vitro antioxidant properties of pomegranate (Punica granatum) peel powder extract obtained as coproduct
in the juice extraction process.
Biodiesel production from algae uses the algal carbohydrates but leaves a protein-rich coproduct
that was readily consumed by California yellowtail and white seabass in feeding trials.
The main coproduct
of biodiesel is crude glycerol, which before a highly cost purification process has a limited amount of applications.
Below we denote by [DELTA] the coproduct
of a braided Hopf algebra A and by [A.sup.+] the kernel of the counit.
The concept of crossed coproduct
appeared as a dual version of the usual crossed product for Hopf algebras and it was studied in several papers; see [7-9].
The only possibility is then to deform the Leibniz rule, turning the ordinary Lie algebra of generators into a Hopf algebra with nontrivial coproduct
As of May 16, the country has 44 operating metallic mines-27 nickel mines, one copper mine with gold as coproduct
, two copper mines with gold and silver as coproducts
, six gold mines with silver as coproduct
, three chromite mines and five iron mines, according to the MGB.
Soybean hulls (SH) are a coproduct
from soybean processing.
We endow the set of isomorphism classes of matroids with a new Hopf algebra structure, in which the coproduct
is implemented via the combinatorial operations of restriction and deletion.
The oil reacts with the methoxide to form biodiesel and a glycerin coproduct
; allow the glycerin to settle and then drain it off.